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Finding the Fourth Proportional to 204,846.64, 282,705.20 and 112,983.92

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Solution

The fourth proportional to 204,846.64, 282,705.20 and 112,983.92 is: 155,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,846.64 : 282,705.20 = 112,983.92 : x
  2. Step 2: Convert to fraction form
    204,846.64/282,705.20 = 112,983.92/x
  3. Step 3: Cross multiply
    204,846.64x = 282,705.20 × 112,983.92
  4. Step 4: Simplify right side
    204,846.64x = 31,941,141,700.38
  5. Step 5: Solve for x
    x = 31,941,141,700.38/204,846.64
  6. Step 6: Final answer
    x = 155,927.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.